🧮 algebra

1. **State the problem:** We need to determine which of the given tables represents a nonlinear function. 2. **Recall the definition:** A function is linear if the rate of change (

1. **State the problem:** Simplify the expression $$\left(\frac{(2^4)^2}{(2^4)^3 \cdot 2^3}\right)^2$$. 2. **Recall the exponent rules:**

1. **State the problem:** We need to evaluate the expressions $2(4x+3)$ and $12x-2$ when $x=3$ to check if they are equal. 2. **Evaluate the first expression:**

1. **State the problem:** Simplify the expression $30 \times 5 \div 15 \times 3 + 48 \div 6$. 2. **Recall the order of operations:** Multiplication and division are performed from

1. The problem is to find the product of the two numbers $-5$ and $-8$. 2. The formula for multiplication is simply multiplying the two numbers: $$a \times b$$

1. The problem is to evaluate the product of two numbers: $(-4)$ and $3$. 2. The formula for multiplication is simply $a \times b$, where $a$ and $b$ are any two numbers.

1. **State the problem:** Simplify the expression $\pi \times 10 / 6$. 2. **Write the expression:** $$\frac{\pi \times 10}{6}$$

1. **State the problem:** We need to find the number of minutes at which the cost of the Gold Plan equals the cost of the Platinum Plan. 2. **Define the cost functions:**

1. The problem is to simplify the expression $\frac{10\pi}{6}$.\n\n2. The formula used here is to simplify fractions by dividing numerator and denominator by their greatest common

1. **State the problem:** We need to find the solution to the system of equations by graphing: $$\begin{cases} y = 3x - 4 \\ y = 3x - 5 \end{cases}$$

1. **State the problem:** Simplify the expression $$\left(\frac{5}{4x-8} - \frac{5}{4x+8} + 1 \right) : \frac{x^4 + 2x^2 + 1}{x^3 - 4x}.$$\n\n2. **Rewrite the division as multiplic

1. **State the problem:** Find the domain and range of the relation given by the set of points \{(-14, -13), (-16, 17), (-17, -21), (15, -25), (-2, 13)\}. 2. **Recall definitions:*

1. Je wilt leren over kwadratische vergelijkingen. Een kwadratische vergelijking heeft de vorm $$ax^2 + bx + c = 0$$ waarbij $$a \neq 0$$. 2. De belangrijkste formule om de oplossi

1. **Problem:** For the quadratic function $y = 3(x - 1)^2 + 4$, determine the number of x-intercepts, the equation of the axis of symmetry, and the domain and range. 2. **Formula

1. **State the problem:** Solve the inequality $$2^x + 2 \cdot 2^{-x} - 3 > 0$$. 2. **Rewrite the terms:** Let $$y = 2^x$$. Then $$2^{-x} = \frac{1}{2^x} = \frac{1}{y}$$.

1. **State the problem:** Find the domain of the function $$f(u) = \frac{u+1}{1 + \frac{1}{u+1}}$$. 2. **Recall the domain rules:** The domain of a function includes all values of

1. **State the problem:** We are given two sets of points and asked to find the slope of the line passing through each set.

1. **State the problem:** Simplify the expression $$-\frac{6}{5} \times \frac{1}{4} + \frac{4}{5} \div \frac{5}{6}$$. 2. **Recall the rules:**

1. **State the problem:** Simplify the expression $$\frac{6}{5} \times \frac{1}{4} + \frac{4}{5} \div \frac{5}{6}$$. 2. **Recall the rules:**

1. **State the problem:** Simplify the expression $\frac{4}{11} - \frac{1}{2}$.\n\n2. **Find a common denominator:** The denominators are 11 and 2. The least common denominator (LC

1. **State the problem:** Simplify the division of mixed numbers $1 \frac{1}{4} \div 2 \frac{1}{7}$. 2. **Convert mixed numbers to improper fractions:**